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\begin{equation*}\frac{d^2F(P)}{dP^2}\ =\frac{dF'(P)}{dP}=\frac{F'(P_1)-F'(P_0)}{dP}=\frac{G(P_1)-G(P_0)}{dP}=\frac{dG(P)}{dP},\,\!\end{equation*}
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